Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations
and | Apr 03, 2020
About this article
Published Online: Apr 03, 2020
Page range: 5 - 22
Received: May 24, 2019
Accepted: Nov 30, 2019
DOI: https://doi.org/10.34768/amcs-2020-0001
Keywords
© 2020 Vyacheslav Maksimov et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory. This system includes as particular cases the Schlögl model and the FitzHugh–Nagumo equations. A numerical method is suggested that is based on techniques of feedback control. An error analysis is performed. Numerical examples confirm the theoretical predictions.